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Vertical Reaction Force Equation:
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Vertical reaction force (R_v) is the sum of all vertical forces acting on a structure or object. It represents the net upward force exerted by a support surface in response to applied loads, maintaining equilibrium in the vertical direction.
The calculator uses the vertical reaction force equation:
Where:
Explanation: The equation simply sums all vertical forces acting on a structure, considering both downward (negative) and upward (positive) forces according to the sign convention.
Details: Calculating vertical reaction forces is essential in structural engineering for designing supports, foundations, and load-bearing elements. It ensures structures can safely withstand applied loads without failure.
Tips: Enter vertical force values separated by commas. Use positive values for upward forces and negative values for downward forces. All values should be in Newtons (N).
Q1: What is the sign convention for vertical forces?
A: Typically, upward forces are positive and downward forces are negative, but this may vary based on the coordinate system used.
Q2: How does this relate to Newton's Third Law?
A: The vertical reaction force is equal and opposite to the net applied vertical force, demonstrating Newton's Third Law of Motion.
Q3: What units should I use?
A: The calculator uses Newtons (N) as the standard unit for force. Ensure all input values are in consistent units.
Q4: Can this calculator handle distributed loads?
A: For distributed loads, you must first calculate the equivalent concentrated force before entering it into the calculator.
Q5: What if my structure has multiple supports?
A: This calculator provides the total vertical reaction force. For multiple supports, additional equations considering moment equilibrium are needed to determine individual support reactions.